Results 31 to 40 of about 826,914 (316)

Essential Norm of the Weighted Composition Operators Between Growth Space [PDF]

Sahand Communications in Mathematical Analysis
For $\alpha>0$, the growth space $\mathcal{A}^{-\alpha}$ is the space of all function $f\in H(\DD)$ such that $$\left\|f\right\|_{\mathcal{A}^{-\alpha}}=\sup_{z\in\DD}\left(1-\left|z\right|^2\right)^\alpha \left|f(z)\right|
Ebrahim Abbasi, Mostafa Hassanlou
doaj   +1 more source

Volterra integral operator and essential norm on Dirichlet type spaces

AIMS Mathematics, 2021
In this paper, we study the boundedness and essential norm of Volterra integral operator $ V_g $ and integral operator $ S_g $ on Dirichlet type spaces $ {\mathcal{D}_{K, \alpha}} $.
Liu Yang, Ruishen Qian
doaj   +1 more source

The Essential Norm of Operators on $A^p_\alpha(\mathbb{B}_n)$ [PDF]

, 2012
In this paper we characterize the compact operators on $A^p_\alpha(\mathbb{B}_n)$ when $1-1$. The main result shows that an operator on $A^p_\alpha(\mathbb{B}_n)$ is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform ...
Mitkovski, Mishko, Suárez, Daniel, Wick, Brett D.   +2 more
core   +2 more sources

On essential norm of the Neumann operator [PDF]

Mathematica Bohemica, 1992
The author gives an estimate of the essential norm of the Neumann operator. It is shown that under a deformation of the domain investigated by a diffeomorphism, which is conformal on a precisely specified part of the boundary, for the given norm there exists a norm on the space of continuous functions on the boundary of the deformated domain such that ...
openaire   +2 more sources

Boundedness and Essential Norm of an Operator between Weighted-Type Spaces of Holomorphic Functions on a Unit Ball

Axioms, 2023
The boundedness of a sum-type operator between weighted-type spaces is characterized and its essential norm is estimated.
Stevo Stević, Sei-Ichiro Ueki
doaj   +1 more source

Norm and Essential Norm of a Weighted Composition Operator on the Bloch Space [PDF]

Integral Equations and Operator Theory, 2017
We give some new estimates for the norm and essential norm of a weighted composition operator on the Bloch space. As corollaries, we obtain some new characterizations of the boundedness and compactness of a weighted composition operator on the Bloch space.
Xiaosong Liu, Songxiao Li
openaire   +3 more sources

Norms of a Product of Integral and Composition Operators between Some Bloch-Type Spaces

Axioms, 2023
We present some formulas for the norm, as well as the essential norm, of a product of composition and an integral operator between some Bloch-type spaces of analytic functions on the unit ball, in terms of given symbols and weights.
Stevo Stević
doaj   +1 more source

The essential norm of operators in the Toeplitz algebra on $A^p(B_n)$ [PDF]

Indiana University Mathematics Journal, 2007
Fil: Suarez, Fernando Daniel. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Oficina de Coordinacion Administrativa Saavedra 15.
Daniel Suárez
openalex   +4 more sources

The essential norms of composition operators [PDF]

Glasgow Mathematical Journal, 1992
Throughout the paper n denotes a fixed positive integer unless otherwise specified. Let B = Bn denote the open unit ball of ℂn and let S = Sn denote its boundary, the unit sphere. The unique rotation-invariant probability measure on 5 will be denoted by σ = σn. For n = l, we use more customary notations D = B1, T = S1 and dσ1= dθ/2π. The Hardy space on
openaire   +2 more sources

Essential norm of an integral-type operator from ω-Bloch spaces to μ-Zygmund spaces on the unit ball [PDF]

Opuscula Mathematica, 2018
In this paper, we give an estimate for the essential norm of an integral-type operator from \(\omega\)-Bloch spaces to \(\mu\)-Zygmund spaces on the unit ball.
Juntao Du, Xiangling Zhu
doaj   +1 more source